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Finding the Fourth Proportional to 9,679.57, 13,357.95 and 5,431.57

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Solution

The fourth proportional to 9,679.57, 13,357.95 and 5,431.57 is: 7,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.57 : 13,357.95 = 5,431.57 : x
  2. Step 2: Convert to fraction form
    9,679.57/13,357.95 = 5,431.57/x
  3. Step 3: Cross multiply
    9,679.57x = 13,357.95 × 5,431.57
  4. Step 4: Simplify right side
    9,679.57x = 72,554,640.48
  5. Step 5: Solve for x
    x = 72,554,640.48/9,679.57
  6. Step 6: Final answer
    x = 7,495.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.